Fusion of neutron-rich systems using time-dependent density-constrained DFT

In connection with experiments at Radioactive Ion Beam Facilities, we study fusion reactions with a new approach [1] which is based on a time-dependent density-constrained density functional theory (DFT). The only input is the Skyrme NN interaction, there are no adjustable parameters. We calculate heavy-ion interaction potentials $V(R)$, mass parameters $M(R)$, and total fusion cross sections. Some of the effects naturally included in these calculations are: neck formation, mass exchange, internal excitations, deformation effects, as well as nuclear alignment for deformed systems. Results will be presented for low-energy fusion reactions of $^{12}$C+$^{16,24}$O and for $^{16,24}$O+$^{16,24,28}$O which occur in the crust of neutron stars [2]. Finally, we will discuss fusion with neutron-rich halo nuclei, in particular $^{11}$Li+$^{208}$Pb.\\[4pt] [1] Umar and Oberacker, PRC 74, 021601(R) (2006)\\[0pt] [2] Umar, Oberacker, and Horowitz, PRC 85, 055801 (2012)